Modular Classes of Lie Groupoid Representations up to Homotopy

Authors

Rajan Amit Mehta, Smith CollegeFollow

Document Type

Article

Publication Date

7-25-2015

Publication Title

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Abstract

We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of Weinstein’s “The volume of a differentiable stack”.

Keywords

Lie groupoid; representation up to homotopy; modular class

Volume

11

Issue

058

First Page

1

Last Page

10

DOI

dx.doi.org/10.3842/SIGMA.2015.058

ISSN

1815-0659

Creative Commons License

This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.

Rights

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) is a peer-reviewed open access journal.

Comments

Archived as published.

Recommended Citation

Mehta, Rajan Amit, "Modular Classes of Lie Groupoid Representations up to Homotopy" (2015). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/14